10120001032010 has 16 divisors (see below), whose sum is σ = 19008001938816. Its totient is φ = 3872000394768.

The previous prime is 10120001031977. The next prime is 10120001032019. The reversal of 10120001032010 is 1023010002101.

It is a super-6 number, since 6×10120001032010⁶ (a number of 79 digits) contains 666666 as substring. Note that it is a super-d number also for d = 4.

It is a junction number, because it is equal to n+sod(n) for n = 10120001031982 and 10120001032000.

It is not an unprimeable number, because it can be changed into a prime (10120001032019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22000002014 + ... + 22000002473.

It is an arithmetic number, because the mean of its divisors is an integer number (1188000121176).

Almost surely, 2^{10120001032010} is an apocalyptic number.

10120001032010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120001032010 is a deficient number, since it is larger than the sum of its proper divisors (8888000906806).

10120001032010 is a wasteful number, since it uses less digits than its factorization.

10120001032010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44000004517.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10120001032010 its reverse (1023010002101), we get a palindrome (11143011034111).

The spelling of 10120001032010 in words is "ten trillion, one hundred twenty billion, one million, thirty-two thousand, ten".